VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
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Question 9(a)Question part (a)
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 91% of students · official report
a. Write down the coordinates of point D. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 1 · Report: 2023 VCE Specialist Mathematics 1 external assessment reportQuestion 9(b)Question part (b)
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b. Another cyclist, C, is moving with velocity given by r i j C t n 2 3 ( ) , where n ∈ R, with initial position r i C = 2 . Given that a = 2, find the value of n such that the
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 91% of students · official report
b. Show that → AB and → AD are 2 5 6 i j k and i j k 2 , respectively. 1 mark
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 56% of students · official report
c. Hence find the equation of the plane in Cartesian form. 2 marks
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 57% of students · official report
e. AB ____ and AD are adjacent sides of a parallelogram. Find the area of this parallelogram. 1 mark 2023 SPECMATH EXAM 1 10 D O N O T W R I T E I N T H I S A R E A
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Estimated difficulty · Difficult
Question 10 – continued Question 10 (6 marks) The position vector of a particle at time t seconds is given by r i + j ( ) sin ( ) sin( )cos( ) t t t t 5 6 1 62 , where t ≥ 0.
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 80% of students · official report
a. Write 5 − 6 sin2(t) in the form α + β cos (2t), where α, β ∈ Z +. 1 mark
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 69% of students · official report
b. Show that the Cartesian equation of the path of the particle is (x − 2)2 + (y − 1)2 = 9. 2 marks
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 36% of students · official report
c. The particle is at point A when t = 0 and at point B when t = a, where a is a positive real constant. If the distance travelled along the curve from A to B is 3 4 π , find a. 1
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 7% of students · official report
d. Find all values of t for which the position vector of the particle, r( ) t , is perpendicular to its velocity vector, r( ) t . 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 1 · Report: 2023 VCE Specialist Mathematics 1 external assessment reportSection A, Question 1
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Estimated difficulty · Easy
Question 1 The implied domain and range of f x x ( ) sin cos ( ) 1 1 2 are respectively A. [0, 1] and [0, 1] B. [−1, 0] and [0, 1] C. R and [−1, 1] D. [0, 1] and [−1, 1] E. R and [
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section A, Question 1
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Report-based difficulty · EasyAverage marks: 85% of available · official reportAnswered correctly: 85% · official report
Question 1 Consider the following statement. ‘If my football team plays badly, then they are not training enough.’ Which one of the following statements is the contrapositive of th
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportHow to use ClassConnect past exam questions
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